real number

[/ˈriːəl ˈnʌmbər/]
nounpl: real numbers
número real
1. Any number that can be represented on a number line, including rational numbers (integers and fractions) and irrational numbers (such as π and √2)
The set of real numbers includes both 3.14 and √2.
O conjunto dos números reais inclui tanto 3,14 quanto √2.
2. A mathematical element of the real number system, denoted by ℝ, which forms a complete ordered field
Every real number can be expressed as a decimal expansion.
Todo número real pode ser expresso como uma expansão decimal.
3. A number that is not imaginary or complex (contrasted with imaginary numbers)
5 is a real number, but 5i is imaginary.
5 é um número real, mas 5i é imaginário.
This is a fundamental mathematical term used identically in both Brazilian Portuguese and American English mathematics education. It is a cornerstone concept introduced in high school algebra and is essential for understanding calculus, analysis, and higher mathematics. The term carries no colloquial usage and is exclusively academic.
Synonyms / Sinônimos
realelement of ℝ
Antonyms / Antônimos
imaginary numbercomplex number

Regional Variations

General Brazilian
número real
Standard mathematical terminology used in schools and universities
Portugal
número real
Same terminology as Brazilian Portuguese; universal in mathematical contexts
USA Academic
real number
Standard term in American mathematics education and higher mathematics

Related Words

rational numberirrational numberintegerdecimalnumber linecomplex numberreal axis
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